The Schrödinger equation can be solved exactly for the hydrogen atom. After practicing with the particle-in-a-box problem, students solve the H atom symbolically using the derivatives feature in MathCad. The result is an expression for the energy levels of the hydrogen atom. Students will also prove that the radial part of the wavefunction is normalized and explore the concept of an orbital. This exercise is intended for junior-level students who have been introduced to quantum mechanics, particularly the particle-in-a-box. Students should also have some experience with derivatives and integrals in Mathcad.